10935370 ÷ 465 
Our goal is to divide 10935370 by 465.

Advancing to step 1:
When dividing 1 by 465, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 465

Advancing to step 2:
465 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 465

Moving on to step 3:
If we divide 109 by 465, we get 0 and a remainder of 109.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 109 leaves us with 109.
Fetch the next digit (3) from the dividend, attach it to 109 and continue: 1093 / 465

Advancing to step 4:
If we divide 1093 by 465, we get 2 and a remainder of 163.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 930 from 1093 and we're left with 163.
Fetch the next digit (5) from the dividend, attach it to 163 and continue: 1635 / 465

On to step 5:
1635 divided by 465 is 3 with a remainder of 240.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Deduct 1395 from 1635 and we're left with 240.
Take the next digit (3) from the dividend and append it to 240, then repeat: 2403 / 465

On to step 6:
When dividing 2403 by 465, we get 5 with a remainder of 78.
Write down 5 as next digit of the result. 
Result so far: 235.0
If we take 2325 away from 2403, we end up with 78.
Include the next digit (7) from the dividend after 78, then repeat: 787 / 465

Going ahead to step 7:
If we divide 787 by 465, we get 1 and a remainder of 322.
The number 1 becomes the next digit in our result. 
Result so far: 2351.0
The remainder is 322 after subtracting 465 from 787.
Grab the next digit (0) from the dividend, add it to 322, then carry on: 3220 / 465

Going ahead to step 8:
3220 divided by 465 is 6 with a remainder of 430.
The next digit of our result is 6. 
Result so far: 23516.0
The remainder is 430 after subtracting 2790 from 3220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Let's proceed to step 9:
465 goes into 4300 9 times with a remainder of 115.
Record the quotient 9 as the next digit in the result. 
Result so far: 23516.9
Subtract 4185 from 4300 to get 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

On to step 10:
465 can be fit into 1150 2 times, resulting in a remainder of 220.
Use 2 as the next digit of our solution. 
Result so far: 23516.92
The remainder is 220 after subtracting 930 from 1150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Moving on to step 11:
465 can be fit into 2200 4 times, resulting in a remainder of 340.
The next digit of our result is 4. 
Result so far: 23516.924
Subtract 1860 from 2200 to get 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Advancing to step 12:
The number 465 fits into 3400 7 times, leaving a remainder of 145.
The number 7 becomes the next digit in our result. 
Result so far: 23516.9247
The remainder is 145 after subtracting 3255 from 3400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Let's proceed to step 13:
The number 465 fits into 1450 3 times, leaving a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 23516.92473
Subtracting 1395 from 1450 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 14:
465 can be fit into 550 1 times, resulting in a remainder of 85.
Use 1 as the next digit of our solution. 
Result so far: 23516.924731
If we take 465 away from 550, we end up with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Step 15:
When dividing 850 by 465, we get 1 with a remainder of 385.
Record the quotient 1 as the next digit in the result. 
Result so far: 23516.9247311
Subtract 465 from 850 to get 385.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3850, and continue the process.

After the division, we end up with 23516.9247311 and a remainder of 3.85e-06.